<PRE><B>Question 165981</B>
{{{20/(2x+3) = (17x)/(2x+3) -5}}} Start with the given equation



{{{cross(2x+3)(20/cross(2x+3))= cross(2x+3)((17x)/cross(2x+3)) -(2x+3)(5)}}} Multiply EVERY term by the LCD {{{2x+3}}} to clear out the fractions.



{{{20=17x-5(2x+3)}}} Simplify



{{{20=17x-10x-15}}} Distribute



{{{20+15=17x-10x}}} Add 15 to both sides



{{{35=7x}}} Combine like terms.



{{{35/7=x}}} Divide both sides by 7 to isolate x.



{{{5=x}}} Divide



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Answer:


So the solution is {{{x=5}}}</PRE>